Coexistent phases in nonlinear thermoelasticity : radially symmetric equilibrium states of aelotropic bodies

نویسندگان

  • Mikhail M. Shvartsman
  • Stuart S. Antman
  • MIKHAIL M. SHVARTSMAN
  • STUART S. ANTMAN
چکیده

We determine the detailed qualitative behavior of radially symmetric equilibrium states with two or more phases for general classes of nonlinear thermoelastic materials. We treat the cases of structured and non-structured interface. Methods are based on a combination of geometric constructions with phase-plane analyses of the governing equations. A special feature of the solutions is that they admit nonplanar interfaces.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Radially-symmetric Problems of Nonlinear Viscoelasticity

Title of dissertation: ANALYSIS OF STEADY-STATE AND DYNAMICAL RADIALLY-SYMMETRIC PROBLEMS OF NONLINEAR VISCOELASTICITY Alexey B. Stepanov, Doctor of Philosophy, 2015 Dissertation directed by: Professor Stuart S. Antman Department of Mathematics This thesis treats radially symmetric steady states and radially symmetric motions of nonlinearly elastic and viscoelastic plates and shells subject to ...

متن کامل

Asymptotic Stability and Global Existence in Thermoelasticity with Symmetry

First we prove an exponential decay result for solutions of the equations of linear, homogeneous, isotropic thermoelasticity in bounded regions in two or three space dimensions if the rotation of the displacement vanishes. As a consequence, we describe the decay in radially symmetrical situations, and in a cylinder in R3. Then we establish the global existence of solutions to the corresponding ...

متن کامل

Radially symmetric nonlinear photonic crystals

Different types of quadratic, radially symmetric, nonlinear photonic crystals are presented. The modulation of the nonlinear coefficient may be a periodic or an aperiodic function of the radial coordinate, whereas the azimuthal symmetry of the crystal may be either continuous or discrete. Nonlinear interactions within these structures are studied in two orientations, transverse and longitudinal...

متن کامل

Free and constrained equilibrium states in a variational problem on a surface

We study the equilibrium states for an energy functional with a parametric force field on a region of a surface. Consideration of free equilibrium states is based on Lyusternik - Schnirelman's and Skrypnik's variational methods. Consideration of equilibrium states under a constraint of geometrical character is based on an analog of Skrypnik's method, described in [P. Vyridis, {it Bifurcation in...

متن کامل

Exact Solution for Electrothermoelastic Behaviors of a Radially Polarized FGPM Rotating Disk

This article presents an exact solution for an axisymmetric functionally graded piezoelectric (FGP) rotating disk with constant thickness subjected to an electric field and thermal gradient. All mechanical, thermal and piezoelectric properties except for Poisson’s ratio are taken in the form of power functions in radial direction. After solving the heat transfer equation, first a symmetric dist...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2015